Lecture 9 : 2 . 17 . 04
نویسندگان
چکیده
Algorithm 1 Seidel(A, b, c) 1: if there is only one variable then 2: Treat all inequalities in Ax ≤ b as equalities and solve for x in each. 3: Return the point out of these that maximizes c. 4: end if 5: if there are as many constraints as variables then 6: Solve the linear system Ax = b using Gaussian elimination and return the resulting point. 7: end if 8: Pick a constraint h : aix ≤ bi uniformly at random. 9: x ← Seidel(A− ai, b− bi, c) 10: if x satisfies h then 11: Return x 12: else 13: A, b ← substitution of the equality aix = bi in Ax ≤ b 14: Return Seidel(A, b, c) 15: end if
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